Question

the ages of Babu and Sabu in the ratio 3:5 four years later sum of their ages will be 64 years . what is their present age?​

Answer 1

Answer:

$\large \bf \clubs \: Given :-$

Ratio of Presrnt Ages of Babu and Sabu is 3 : 5.

Sum of their ages after 4 years will be 64 years.

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$\large \bf \clubs \: To \: Find :-$

Their Present Ages

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$\large \bf \clubs \: Solution :-$

As The Ratio of Ages of Babu and Sabu is 3 : 5

Let ,

Present Age of Babu = 3x years

Present Age of Sabu = 5x years

《 After 4 years 》

Age of Babu= 3x + 4 years

Age of Sabu = 5x + 4 years

✏ According To Question :

$\text{Sum of Ages After 4 years = 64 years }$

$:\longmapsto \text{3x + 4 + 5x + 4 = 64}:$

$:\longmapsto \text{8x + 8 = 64}:$

$:\longmapsto \text{8x} = 64 - 8:$

$:\longmapsto \text x = \cancel\dfrac{56}{8}$

$\purple{ \Large :\longmapsto \underline {\boxed{{\bf x = 7} }}}$

Hence,

$\begin{gathered} \pink{\begin{cases} \: \bf{Present \: Age \: of \: Babu=21 \:years} \\ \\ \: \bf Present \: Age \: of \: Sabu=35 \:years\end{cases}}\end{gathered}$

PresentAgeofBabu=21years

PresentAgeofSabu=35years

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